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14929753311 = 3211217806447
BaseRepresentation
bin11011110011110000…
…11111010011011111
31102112110222001100100
431321320133103133
5221034004101221
610505244232143
71035654544404
oct157170372337
942473861310
1014929753311
116371502700
122a87b3b653
13153c122175
14a18b7a2ab
155c5a8a926
hex379e1f4df

14929753311 has 36 divisors (see below), whose sum is σ = 25098274656. Its totient is φ = 8516069760.

The previous prime is 14929753309. The next prime is 14929753393. The reversal of 14929753311 is 11335792941.

14929753311 is a `hidden beast` number, since 1 + 49 + 297 + 5 + 3 + 311 = 666.

It is not a de Polignac number, because 14929753311 - 21 = 14929753309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14929753211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384711 + ... + 421736.

It is an arithmetic number, because the mean of its divisors is an integer number (697174296).

Almost surely, 214929753311 is an apocalyptic number.

14929753311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14929753311 is a deficient number, since it is larger than the sum of its proper divisors (10168521345).

14929753311 is a wasteful number, since it uses less digits than its factorization.

14929753311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806492 (or 806478 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The spelling of 14929753311 in words is "fourteen billion, nine hundred twenty-nine million, seven hundred fifty-three thousand, three hundred eleven".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 6171 18513 806447 2419341 7258023 8870917 13709599 26612751 41128797 79838253 97580087 123386391 150805589 292740261 452416767 878220783 1357250301 1658861479 4976584437 14929753311